A numerical method for finding positive solution of logistic equation

DOI10.1016/j.amc.2006.07.136zbMath1117.65149OpenAlexW2002822749MaRDI QIDQ884614

Ghasem Alizadeh Afrouzi, Somayeh Mahdavi, Zohreh Naghizadeh

Publication date: 6 June 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.07.136

zbMATH Keywords

positive solutionsnumerical exampleslogistic equation with diffusionSub- and super-solutions

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Population dynamics (general) (92D25) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items

Semi-implicit integration factor methods on sparse grids for high-dimensional systems

Cites Work

• Unnamed Item
• Numerical procedures for a boundary value problem with a non-linear boundary condition
• Numerical solution of the three-dimensional advection--diffusion equation.
• ALGORITHMS AND VISUALIZATION FOR SOLUTIONS OF NONLINEAR ELLIPTIC EQUATIONS
• A numerical investigation of sign-changing solutions to superlinear elliptic equations on symmetric domains